Slice the ginger and the white part of the green onion, then place them in a dry pot over medium-high heat until they are slightly charred and fragrant.
Pour the beef bone broth into the pot and add the star anise and cinnamon stick.
Bring the broth to a gentle simmer for 15 minutes to allow the aromatics to fully infuse the liquid.
While the broth is simmering, cook the rice noodles in a separate pot of boiling water according to package directions, then drain and set aside.
Strain the solids from the broth and stir in the fish sauce and black pepper to season.
Place the cooked rice noodles in a large serving bowl and lay the raw, paper-thin slices of eye of round beef over the top.
Pour the boiling hot broth directly over the beef slices, which will cook them instantly until they are tender and opaque.
Garnish the soup with bean sprouts, cilantro, basil, and the sliced green parts of the onion, and serve with a fresh lime wedge.